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Finding the Fourth Proportional to 711.01, 1,066.68 and 565.31

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Solution

The fourth proportional to 711.01, 1,066.68 and 565.31 is: 848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.01 : 1,066.68 = 565.31 : x
  2. Step 2: Convert to fraction form
    711.01/1,066.68 = 565.31/x
  3. Step 3: Cross multiply
    711.01x = 1,066.68 × 565.31
  4. Step 4: Simplify right side
    711.01x = 602,999.54
  5. Step 5: Solve for x
    x = 602,999.54/711.01
  6. Step 6: Final answer
    x = 848.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.